Study of Roseman moves using quandle theory and immersion theory
| Project/Area Number |
26400082
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Tokyo Gakugei University |
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Principal Investigator |
Tanaka Kokoro 東京学芸大学, 教育学部, 准教授 (70448950)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 位相幾何 / 曲面結び目 / ローズマン変形 / カンドル / はめ込み / トポロジー |
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| Outline of Final Research Achievements |
We studied independence of Roseman moves for surface-knot diagrams. Firstly, using immersion theory, we shed light on independence of Roseman moves including branch points. More pricisely, we constructed a pair of two 2-knots such that any sequence of Roseman moves between them contains branch points. Secondly, using quandle theory, we shed light on independence of Roseman moves including triple points. More pricisely, we constructed a pair of two 2-knots such that any sequence of Roseman moves between them contains triple points.
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Report
(4 results)
Research Products
(17 results)
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[Presentation] バイカンドル彩色について2016
Author(s)
Kokoro Tanaka
Organizer
研究集会「2016年度琉球結び目セミナー」
Place of Presentation
那覇市伝統工芸館会議室（沖縄県・那覇市）
Year and Date
2016-12-17
Related Report
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